Given numbers are 501,167,689

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 501,167,689 is 345189.

Find LCM of 501,167,689 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

167 x 3 x 1 x 689 = 345189

Therefore, the lowest common multiple of 501,167,689 is 345189.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

501 x 167 x 689 = 57646563

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

501 : 1, 3, 167, 501

167 : 1, 167

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,167,689, is 1.

Now, the common factors can be found like this.

501:3x 167

167:167

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

167 = 167

Therefore, the value for common factors is 167.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 57646563/(1x167)

LCM = 57646563/167

LCM = 345189

Thus, we can understand that the LCM of 501,167,689 is 345189.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 735, 465, 583
• LCM of 454, 424, 252
• LCM of 293, 993, 415
• LCM of 976, 869, 866
• LCM of 107, 231, 269

1. What is the LCM of 501, 167, 689?

Answer: LCM of 501, 167, 689 is 345189.

2. How to calculate the LCM of 501, 167, 689?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 501, 167, 689.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.